Question

Jackson volunteers at a local charity filling bags with food. There are 20 bags already filled. Jackson can fill 35 bags with food per hour. Create an inequality showing the number of hours, x, Jackson needs to volunteer in order to fill at least 1,000 bags with food. Then, solve for x.

Answer 1

35x=1000-20
35×=980
x=980÷35
×=28

Answer 2

Answer: 20 + 35x ≥1000

x= 28 hours.

Explanation:

Hi, to answer this question we have to write an inequality:

The total number of filled bags is equal to the sum of the already filled bags (20) and the product of the number of bags that Jackson can fill per hour (35) an the number of hours (x).

20+35x

That expression must be greater or equal to 1000 bags

So, the inequality is

20 + 35x ≥1000

Solving for x:

20 + 35x ≥1000

35x ≥1000 -20

35x ≥980

x ≥980 /35

x≥ 28

To fill at least 1000 bags he needs to volunteer for 28 hours.